In this section, we will describe the natural
operator algebras associated with the Landau Hamiltonian. On these algebras, we
will define a differential structure and an integration theory based on the Dixmier trace.
Much of the information that we will present in the next sections are borrowed from existing literature. In particular the papers [1]}, [2]}, [3]}, [4]}, [5]}, [6]}
deal with very related subjects.
